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Results tagged with half-integral-weight
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user 44319
Questions about half-integral weight modular forms, and more generally automorphic representations associated to metaplectic groups.
3
votes
0
answers
235
views
Functional equation link two Dirichlet series
Let $f(z)=\sum_{n\ge 1}a(n)n^{(k-1/2)/2}e(nz)\in S_{k+1/2}(\Gamma_0(4N),\chi)$ be a cuspidal Hecke eigenform. Let
$$M(s)=\sum_{p\ge 2, \text{prime}}\frac{|a(p)|^2}{p^s}$$ and
$$R_f(s)=\sum_{n\ge 1}\f …
- 400
0
votes
1
answer
218
views
Clarification of the proof of the main theorem of the paper of Hulse et al
I am trying to understand some open steps in the following article The Sign of Fourier coefficients of Half-integral Weight Cusp Form by Hulse, Kiral, Kuan, and Lim, I find the following :
Let $f\i …
- 400